A tool set on sale for $424.15. The original price of the tool set was $4.99. What percent of the original price is the sale price?

The simplified from of expression; which is obtained by performing mathematical operations to the expression and convert it to its standard form. Hence, the simplified form of 135(z^{0} ) is 135.

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

We need to find the simplified form of this equation :

135(z^{0} )

Since we know that any power of 0 is 1. So, z to the power of 0 is going to be one.

135(z^{0} ) = 135(1 )

135^1 = 135

The simplified from of expression; which is obtained by performing mathematical operations to the expression and convert it to its standard form. Hence, the simplified form of 135(z^{0} ) is 135.

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To find the length of the job that costs the same regardless of the moving company used, solve the equation 840 + 17x = 760 + 22x. The job would need to be 16 hours long.

To determine the length of the job that costs the same regardless of the moving company used, we need to solve the equation 840 + 17x = 760 + 22x, where x represents the number of hours.

First, we subtract 760 from both sides: 840 + 17x - 760 = 760 + 22x - 760, which simplifies to 80 + 17x = 22x.

Next, we subtract 17x from both sides: 80 + 17x - 17x = 22x - 17x, resulting in 80 = 5x.

Finally, we divide both sides by 5 to solve for x: 80 ÷ 5 = 5x ÷ 5, giving us x = 16. Therefore, the job would need to be 16 hours long to cost the same regardless of the moving company used.

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The required cost of the soft drink is given as $5.5 that Kit bought.

Given that,
Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times as much as the soft drink is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Let the price of the soft drink be x,
total cost = 9
x + 3.5 = 9
x = 9 - 3.5
x = 5.5

Thus, the required cost of the soft drink is given as $5.5 that Kit bought.

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The cost of the soft drink is $2, and the cost of the sandwich is $7.

To solve the problem of determining the cost of both the soft drink and the sandwich that Kit bought for $9.00, we can set up an algebraic equation. If we let s represent the price of the soft drink, then the sandwich would cost 3.5 times as much, which can be represented as 3.5s. According to the information given, the total cost for both is $9.00, so our equation will be s + 3.5s = 9. Combining like terms, we have 4.5s = 9. To find the price of the soft drink (s), we divide both sides of the equation by 4.5, resulting in s = 2. Therefore, the soft drink costs $2, and the sandwich costs 3.5 times that, which means the sandwich costs $7.00.

Answer:

The missing value is(0,0)

Step-by-step explanation:

The complete question is:

2x+3y=5x-y

Complete the missing value in the solution to the equation.

( ,0)

Solution:

We have given:

2x + 3y = 5x - y

Combine the like terms:

2x-5x= -y-3y

-3x = -4y

Both negative signs will be cancelled out by each other.

So we have,

3x = 4y

We have given y = 0

Then

3x = 4*0

3x= 0

Divide both sides by 3

3x/3 = 0/3

x = 0

y=0

Therefore missing value is(0,0)

Answer:

The missing value is 0.    

Step-by-step explanation:

Given : Expression [tex]2x + 3y = 5x - y[/tex]

To find : Complete the missing value in the solution to the equation (_,0) ?

Solution :

Write the expression,

[tex]2x + 3y = 5x - y[/tex]

Take like terms together,

[tex]3y+y = 5x-2x[/tex]

[tex]4y=3x[/tex]

Now substitute y=0,

[tex]4(0)=3x[/tex]

[tex]3x=0[/tex]

[tex]x=0[/tex]

So, The required point is (0,0).

Therefore, the missing value is 0.

Answer:

5 1/2

Step-by-step explanation:

Answer

She paid 17.99 in sales tax

Step-by-step explanation:

The cost of each box of strawberries is $14.

Division is breaking a number up into an equal number of parts.

Given that, 3 boxes of strawberries sold for $42,

3 boxes = $42

1 box = $42/3 = $14

Hence, The cost of each box of strawberries is $14.

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Answer:  The correct option is (B) [tex]30\dfrac{5}{8}.[/tex]

Step-by-step explanation:  Given that a landscaper uses 1225 lb of soil to complete a project and the soil comes in bags that weigh 40 lb each.

We are to find the number of bags of soil that the landscaper use to complete the project.

We will be using the UNITARY method to solve the given problem.

Number of bags with weight 40 lb = 1.

So, the number of bags with weight 1 lb is

[tex]\dfrac{1}{40}.[/tex]

Therefore, the number of bags with weight 1225 lb is given by

[tex]\dfrac{1225}{40}=\dfrac{245}{8}=30\dfrac{5}{8}.[/tex]

Thus, the required number of bags is [tex]30\dfrac{5}{8}.[/tex]

Option (B) is CORRECT.

Micah has 33 red marbles and 22 blue marbles.

To find out how many red and blue marbles Micah has, we first need to divide the total number of marbles by the sum of the parts of the ratio (which is 3 + 2 = 5), and then multiply each part of the ratio by this result.

First, let's find the value of each part of the ratio:

- Each part represents a fraction of the total: [tex]\( \frac{55}{5} = 11 \)[/tex] marbles per part.

- Since the ratio of red to blue marbles is 3:2, we have:

 - Red marbles: [tex]\( 3 \times 11 = 33 \)[/tex] marbles

 - Blue marbles: [tex]\( 2 \times 11 = 22 \)[/tex] marbles

So, Micah has 33 red marbles and 22 blue marbles.

Answer:

80 units by 18 units

Step-by-step explanation:

Find the number of feet represented by 1 unit in the drawing.

1 unit ÷ 1

5 feet ÷ 1

 =  

1 unit

5 feet

1 unit in this model is about 5 feet in the actual room.

Find the width of the scale model represented by 90 feet in the actual room.

1 unit × 18

5 ft × 18

 =  

18 units

90 ft

The width of the scale model represented by 90 feet in the actual room is 18 units.

Find the length of the scale model represented by 400 feet in the actual room.

1 unit × 80

5 ft × 80

 =  

80 units

400 ft

The length of the scale model is 80 units.

The scale model is 80 units by 18 units.

This question pertains to creating a linear equation for calculating the cost of renting a truck based on a daily fee plus a per-mile fee, an application of algebra in real-world scenarios such as vehicle rentals.

The question provided involves creating or understanding a linear equation that models the cost associated with renting a truck based on a daily fee and a per-mile fee. A similar concept is seen in the provided examples like Aaron's Word Processing Service, where the cost depends on the number of hours and includes a one-time charge.

The equation to calculate the total cost for Charlie's truck rental would take the form y = mx + b, where y represents the total cost, m is the per-mile fee, x is the number of miles driven, and b is the daily fee. This type of problem utilizes basic algebra to model real-world scenarios such as vehicle rentals, which is an important aspect of personal finance and decision-making skills.

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